Allele Frequency p from Homozygote Recessive q2 Square Root Solver
Solve p=1−sqrt(q²) conditionally under biallelic Hardy-Weinberg equilibrium; not direct allele counting.
Description
Solve p=1−sqrt(q²) conditionally under biallelic Hardy-Weinberg equilibrium; not direct allele counting.
Under a biallelic Hardy-Weinberg model, the recessive-homozygote fraction is q squared. Taking its square root provides a conditional allele-frequency estimate.
When to use this tool
Solve p=1−sqrt(q²) conditionally under biallelic Hardy-Weinberg equilibrium; not direct allele counting.
- Prepare the supplied recessiveHomozygoteFraction fields for this operation.
- Compare the complete example with the representation used by your own input before carrying the result into another step.
How to use the tool and how it works
- Enter recessiveHomozygoteFraction. Use the exact text syntax, units and index conventions explained below.
- Run the tool. If input validation fails, correct the supplied fields before interpreting any result.
- Read result.q, result.p, result.assumption. Interpret false, null and empty lists using the distinctions below; they can be valid outputs.
Require recessiveHomozygoteFraction within zero through one. Return q as its square root, p as one minus q, and the biallelic-Hardy-Weinberg assumption.1
| Input field | Meaning and representation | Accepted input |
|---|---|---|
| recessiveHomozygoteFraction | recessive homozygote fraction. | Finite number; from zero through one inclusive |
| Output field | Interpretation |
|---|---|
| result | Object containing the named outputs below. |
| result.q | The q value under the stated formula or text convention. |
| result.p | The p value under the stated formula or text convention. |
| result.assumption | The assumption value under the stated formula or text convention. |
{
"input": {
"recessiveHomozygoteFraction": 0.25
},
"output": {
"result": {
"q": 0.5,
"p": 0.5,
"assumption": "biallelic-Hardy-Weinberg"
}
}
}Limitations and assumptions
- No equilibrium test, sampling interval or genotype validation is performed. The model does not apply automatically to every population or inheritance system, and inputs are fractions rather than percentages.
- Every declared top-level field is required and unexpected fields are rejected. Numeric inputs must be finite; ordinary text fields are bounded to 8,192 UTF-16 code units, with tighter operation-specific limits where stated.
- Ordinary string lists have at most 128 entries of at most 128 code units each; numeric lists and matrices have separate bounded size checks. Nonfinite results and excessively large serialized outputs are rejected.
- Indexes are zero-based and spans have an exclusive end unless explicitly stated otherwise. A valid false, null or empty-list result is distinct from malformed input.
Alternative or Complementary methods
Keep model assumptions and phenotype-category order with each result. Ratio tolerance screens differ from goodness-of-fit inference, and sequence matches or likelihood products do not independently establish a biological mechanism or personal identity.
References
Similar or alternative tools
- abo genotype cross
A simplified ABO cross maps A and B alleles to codominant expression and O to the recessive phenotype.
- additive phenotype class count
An equal-effect additive diploid model groups offspring by the number of contributing allele copies.